Answer: the balance after 9 years is
$235.8
Explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $100
r = 10% = 10/100 = 0.1
n = 1 because it was compounded once in a year.
t = 9 years
Therefore,.
A = 100(1 + 0.1/1)^1 × 9
A = 100(1 + 0.1)^9
A = 100(1.1)^9
A = $235.8